Heavy quarkonium suppression beyond the adiabatic limit
Abstract
Many prior studies of in-medium quarkonium suppression have implicitly made use of an adiabatic approximation in which it was assumed that the heavy quark potential is a slowly varying function of time. In the adiabatic limit, one can separately determine the in-medium breakup rate and the medium time evolution, folding these together only at the end of the calculation. In this paper, we relax this assumption by solving the three-dimensional Schrödinger equation in real time in order to compute quarkonium suppression dynamically. We compare results obtained using the adiabatic approximation with real-time calculations for both harmonic oscillator and realistic complex heavy quark potentials. Using the latter, we find that, for the Υ(1s), the difference between the adiabatic approximation and full real-time evolution is at the few percent level; however, for the Υ(2s), we find that the correction can be as large as 18% in low temperature regions. For the J=Ψ, we find a larger difference between the dynamical evolution and the adiabatic approximation, with the error reaching approximately 36%.
- Authors:
- Publication Date:
- Research Org.:
- Kent State Univ., Kent, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1572099
- Alternate Identifier(s):
- OSTI ID: 1802495
- Grant/Contract Number:
- SC0013470
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics
Citation Formats
Boyd, Jacob, Cook, Thomas, Islam, Ajaharul, and Strickland, Michael. Heavy quarkonium suppression beyond the adiabatic limit. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.076019.
Boyd, Jacob, Cook, Thomas, Islam, Ajaharul, & Strickland, Michael. Heavy quarkonium suppression beyond the adiabatic limit. United States. https://doi.org/10.1103/PhysRevD.100.076019
Boyd, Jacob, Cook, Thomas, Islam, Ajaharul, and Strickland, Michael. Fri .
"Heavy quarkonium suppression beyond the adiabatic limit". United States. https://doi.org/10.1103/PhysRevD.100.076019.
@article{osti_1572099,
title = {Heavy quarkonium suppression beyond the adiabatic limit},
author = {Boyd, Jacob and Cook, Thomas and Islam, Ajaharul and Strickland, Michael},
abstractNote = {Many prior studies of in-medium quarkonium suppression have implicitly made use of an adiabatic approximation in which it was assumed that the heavy quark potential is a slowly varying function of time. In the adiabatic limit, one can separately determine the in-medium breakup rate and the medium time evolution, folding these together only at the end of the calculation. In this paper, we relax this assumption by solving the three-dimensional Schrödinger equation in real time in order to compute quarkonium suppression dynamically. We compare results obtained using the adiabatic approximation with real-time calculations for both harmonic oscillator and realistic complex heavy quark potentials. Using the latter, we find that, for the Υ(1s), the difference between the adiabatic approximation and full real-time evolution is at the few percent level; however, for the Υ(2s), we find that the correction can be as large as 18% in low temperature regions. For the J=Ψ, we find a larger difference between the dynamical evolution and the adiabatic approximation, with the error reaching approximately 36%.},
doi = {10.1103/PhysRevD.100.076019},
journal = {Physical Review D},
number = 7,
volume = 100,
place = {United States},
year = {2019},
month = {10}
}
https://doi.org/10.1103/PhysRevD.100.076019
Web of Science
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